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Finding the Fourth Proportional to 203,489.96, 280,947.89 and 130,925.30

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Solution

The fourth proportional to 203,489.96, 280,947.89 and 130,925.30 is: 180,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,489.96 : 280,947.89 = 130,925.30 : x
  2. Step 2: Convert to fraction form
    203,489.96/280,947.89 = 130,925.30/x
  3. Step 3: Cross multiply
    203,489.96x = 280,947.89 × 130,925.30
  4. Step 4: Simplify right side
    203,489.96x = 36,783,185,705.19
  5. Step 5: Solve for x
    x = 36,783,185,705.19/203,489.96
  6. Step 6: Final answer
    x = 180,761.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.